Characters and cyclotomic fields in finite geometry /
This monograph contributes to the existence theory of difference sets, cyclic irreducible codes and similar objects. The new method of field descent for cyclotomic integers of presribed absolute value is developed. Applications include the first substantial progress towards the Circulant Hadamard Ma...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
2002.
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1797. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | This monograph contributes to the existence theory of difference sets, cyclic irreducible codes and similar objects. The new method of field descent for cyclotomic integers of presribed absolute value is developed. Applications include the first substantial progress towards the Circulant Hadamard Matrix Conjecture and Ryser`s conjecture since decades. It is shown that there is no Barker sequence of length l with 13<1<4x10^(12). Finally, a conjecturally complete classification of all irreducible cyclic two-weight codes is obtained. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (viii, 100 pages) |
| Bibliography: | Includes bibliographical references (pages [91]-98) and index. |
| ISBN: | 9783540457978 (electronic bk.) 3540457976 (electronic bk.) |
| ISSN: | 0075-8434 ; |